Transition to self-similarity of diffusion of tracer in turbulent patch

Article

Strunin, Dmitry V.. 2001. "Transition to self-similarity of diffusion of tracer in turbulent patch." Journal of Engineering Mechanics. 127 (11), pp. 1089-1095. https://doi.org/10.1061/(ASCE)0733-9399(2001)127:11(1089)
Article Title

Transition to self-similarity of diffusion of tracer in turbulent patch

ERA Journal ID3685
Article CategoryArticle
Authors
AuthorStrunin, Dmitry V.
Journal TitleJournal of Engineering Mechanics
Journal Citation127 (11), pp. 1089-1095
Year2001
Place of PublicationUnited States
ISSN0733-9399
1943-7889
Digital Object Identifier (DOI)https://doi.org/10.1061/(ASCE)0733-9399(2001)127:11(1089)
Web Address (URL)http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JENMDT000127000011001089000001&idtype=cvips&gifs=yes
Abstract

[Abstract]: A mixing of a passive tracer inside a turbulent patch generated by a localized short-time perturbation is studied numerically and analytically. Two kinds of an initial distribution of a tracer are considered: two-layer and continuous with constant gradient. For the turbulent patch shaped as a layer, it is shown that, regardless of details of initial distributions of a turbulent energy and dissipation, a tracer concentration evolves to self-similar regimes as time elapses. Analytical self-similar solutions to turbulent diffusion equations are found for three symmetric shapes of a turbulent patch: layer, cylinder, and sphere. Distributions of the concentration inside a patch are found to be substantially nonuniform, with a typical ratio of a concentration gradient in the middle of a patch to its initial value of about 0.5.

Keywordsself-similarity of diffusion; tracer; turbulent patch
ANZSRC Field of Research 2020401213. Turbulent flows
490302. Numerical analysis
401706. Numerical modelling and mechanical characterisation
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Byline AffiliationsDepartment of Mathematics and Computing
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